Approximate Herbrand theorems are established for first-order fuzzy logics based on continuous t-norms, and used to provide proof-theoretic proofs of Skolemization for their Prenex...
ABSTRACT. This paper investigates the problem of finding subclasses of nonmonotonic reasoning which can be implemented efficiently. The ability to "define" propositions u...
This paper presents a survey of topological spatial logics, taking as its point of departure the interpretation of the modal logic S4 due to McKinsey and Tarski. We consider the ef...
Roman Kontchakov, Ian Pratt-Hartmann, Frank Wolter...
Abstract. In order to verify programs with pointer variables, we introduce a temporal logic LTLmem whose underlying assertion language is the quantifier-free fragment of separatio...
Shortest possible axiomatizations for the implicational fragments of the modal logics S4 and S5 are reported. Among these axiomatizations is included a shortest single axiom for im...